Sobolev-Type Spaces on the Dual of the Chébli-Trimèche Hypergroup and Applications

Mourad Jelassi and Hatem Mejjaoli

Abstract and Applied Analysis, 2014, vol. 2014, 1-13

Abstract:

We define and study Sobolev-type spaces associated with singular second-order differential operator on . Some properties are given; in particular we establish a compactness-type imbedding result which allows a Reillich-type theorem. Next, we introduce a generalized Weierstrass transform and, using the theory of reproducing kernels, some applications are given.

Date: 2014
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/AAA/2014/248725.pdf (application/pdf)
http://downloads.hindawi.com/journals/AAA/2014/248725.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:248725

DOI: 10.1155/2014/248725

Access Statistics for this article

More articles in Abstract and Applied Analysis from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().